The Wolves manager praised Republic of Ireland internationals Kevin Doyle and Kevin Foley for their part in the narrow victory over The Robins
Doyle, who recently declared his desire to remain with the club despite being linked with a move away from Molineux, bagged his first goal of the season, while Foley also got his name on the scoresheet, scoring the winning goal late in the game.
"Doyle's link-up play when we get the ball into him is key. Many of our good moves today did flow through him," Jackett told the Birmingham Mail. "Foley's had a tough start but took his goal very well. He brings a calmness and an experience to the team."
After the game, goalscorer Doyle praised Swindon for their performance but criticised his own team's application, despite securing the victory.
"Swindon are as good a team as I've played in the last few years," he said. "They were very good and we weren't at our best, far from it.
"We got the win which is a good sign in a way but we won't be able to play like that every week and get wins. Carl Ikeme made some great saves."
Meanwhile, Republic of Ireland under-19 international Ian Lawlor has been included in the Manchester City panel for the Champions League clash against Czech outfit Viktoria Plzen.
The 18-year-old was elevated into the first-team squad by manager Manuel Pellegrini after impressing for City's under-21 team and will serve as a reserve goalkeeper to Joe Hart and Costel Pantilimon.